Matematika

Pertanyaan

diketahui fungsi f(x) = ax + b. jika f(-1) = -7
dan f(4) = 18, tentukan :
a. nilai a dan b.
b. rumus fungsi f(x).
c. nilai f(-3) dan f(7).
d. nilai k sehingga f(k) = 8

1 Jawaban

  • a. nilai a dan b

    f(x) = ax + b
    f(-1) = -a + b = -7
    f(4) = 4a + b = 18

    eliminasi b

    5a =25
    a = 25/5
    a = 5

    substitusi nilai a ke salah satu persamaan

    4a + b = 18
    4(5) + b = 18
    20 + b = 18
    b = 18 - 20 = -2

    b. rumus fungsi f(x)

    f(x) = ax + b
    f(x) = 5x - 2

    c. nilai f(-3) dan f(7)

    f(x) = 5x - 2
    f(-3) = 5(-3) - 2 = -15 - 2 = -17

    f(x) = 5x - 2
    f(7) = 5(7) - 2 = 35 - 2 = 33

    d. nilai k sehingga f(k) = 8

    f(x) = 5x - 2
    f(k) = 5k - 2 = 8

    5k - 2 = 8
    5k = 8 + 2
    5k = 10
    k = 10/5
    k = 2

    semoga membantu###

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